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Finding the Third Proportional to 35,867 and 78,811

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Solution

The third proportional to 35,867 and 78,811 is: 173,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867 : 78,811 = 78,811 : x
  2. Step 2: Convert to fraction form
    35,867/78,811 = 78,811/x
  3. Step 3: Cross multiply
    35,867x = 78,811 × 78,811
  4. Step 4: Simplify right side
    35,867x = 6,211,173,721
  5. Step 5: Solve for x
    x = 6,211,173,721/35,867
  6. Step 6: Final answer
    x = 173,172.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.